scholarly journals SHADOWABLE CHAIN TRANSITIVE SETS OF C1-GENERIC DIFFEOMORPHISMS

2012 ◽  
Vol 49 (2) ◽  
pp. 263-270 ◽  
Author(s):  
Keon-Hee Lee ◽  
Xiao Wen
Keyword(s):  
Chain Transitive Sets

scholarly journals HYPERBOLICITY OF CHAIN TRANSITIVE SETS WITH LIMIT SHADOWING

2014 ◽  
Vol 51 (5) ◽  
pp. 1259-1267
Author(s):  
Abbas Fakhari ◽  
Seunghee Lee ◽  
Khosro Tajbakhsh
Keyword(s):  
Limit Shadowing ◽  
Chain Transitive Sets

scholarly journals ROBUSTLY CHAIN TRANSITIVE SETS WITH SHADOWING

2013 ◽  
Vol 26 (4) ◽  
pp. 821-829
Author(s):  
Manseob Lee ◽  
Junmi Park
Keyword(s):  
Chain Transitive Sets

Chain transitive sets for flows on flag bundles

2007 ◽  
Vol 19 (1) ◽  
Author(s):  
Carlos J. Braga Barros ◽  
Luiz A. B. San Martin
Keyword(s):  
Chain Transitive Sets

Robustly shadowable chain transitive sets and hyperbolicity

2018 ◽  
Vol 33 (4) ◽  
pp. 602-621
Author(s):  
Mohammad Reza Bagherzad ◽  
Keonhee Lee
Keyword(s):  
Chain Transitive Sets

scholarly journals Maximal chain transitive sets for local groups

2003 ◽  
Vol 21 (1-2) ◽  
Author(s):  
Carlos José Braga Barros ◽  
Luiz A. B. San Martin
Keyword(s):  
Maximal Chain ◽  
Chain Transitive Sets

scholarly journals Orbital shadowing property on chain transitive sets for generic diffeomorphisms

2020 ◽  
Vol 12 (1) ◽  
pp. 146-154
Author(s):  
Manseob Lee
Keyword(s):  
Maximal Chain ◽  
Dimensional Manifold ◽  
Dominated Splitting ◽  
Shadowing Property ◽  
Orbital Shadowing ◽  
Locally Maximal ◽  
Chain Transitive Sets

AbstractLet f : M → M be a diffeomorphism on a closed smooth n(≥ 2) dimensional manifold M. We show that C1 generically, if a diffeomorphism f has the orbital shadowing property on locally maximal chain transitive sets which admits a dominated splitting then it is hyperbolic.

Sign in / Sign up

Export Citation Format

Share Document